Number worksheet — GCSE Foundation

1.The number 24 can be written as 2³ × 3, and the number 60 can be written as 2² × 3 × 5. Work out the lowest common multiple of 24 and 60.

2.The highest common factor of two numbers is 4 and their lowest common multiple is 60. One of the numbers is 20. Work out the other number.

3.Which of these numbers lies between −8 and −5 on a number line?

4.A rectangular tile measures 45 cm by 0.6 m. Work out its area, in square centimetres.

5.A café sells ice cream in three flavours: vanilla, mango and pistachio. Isla buys a cone with two scoops, using two different flavours, one for the bottom scoop and one for the top scoop. Work out how many different cones she could buy.

6.At midday the temperature in the Lake District was 3 °C. By midnight it had fallen to −6 °C. Work out the fall in temperature.

7.Work out 2 × (−3 + 7)

8.At a swimming pool the ratio of adults to children is 3 : 5. Of the children, 2/5 are boys. What fraction of the people at the pool are boys?

9.A space probe is 7.5 × 10⁸ km from Earth. Write this distance as an ordinary number.

10.Work out an estimate for 2.9² + 3.1², by rounding each number to the nearest whole number.

11.A grain of fine sand has a mass of 0.001 grams. Write this mass in standard form.

12.Write 5,000,000 in standard form.

13.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.

14.A tin of beans has a mass of 650 g. A bag of rice has a mass of 1.35 kg. Work out the total mass, in kilograms.

15.A plumber charges a call-out fee of £45 and then £28 for each hour she works. She is at a house from 09:15 until 12:45. Work out the total charge.